Grade: 6 Unit: 5 Week: 1 Content: Figures on the Coordinate Plane Dates: 3/4/2013-3/8/2013
Theme Essential Question: How dostudents solve real-world and mathematical problems involving area, surface area, and volume?
Essential Questions:
Can students plot polygons on a coordinate plane and find their side lengths?
Standards
6.G.3 Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
Objectives
Students will plot polygons on a coordinate plane and use coordinates to find side lengths.
Reflection and/or Comments from your PCSSD 6th Grade Curriculum Team Next week is a very big week. It would be adviseable to begin the investigating part of week two during this week. (Lessons 74 and 76 in the On-Core Mathematics book)
Arizona Department of Education: Draw polygons in the coordiante plane given coordinates for the vertices; use coordiantes to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real world and math problems.
Example:
On a map, the library is located at (-2, 2), the city hall building is located at (0,2), and the high school is located at (0,0). Represent the locations as points on a coordinate grid with a unit of 1 mile.
What is the distance from the library to the city hall building? The distance from the city hall building to the high school? How do you know?
What shape is formed by connecting the three locations? The city council is planning to place a city park in this area. How large is the area of the planned park?
This standard can be taught in conjunction with 6.G.1 to help students develop the formula for the triangle by using the squares of the coordinate grid. Given a triangle, students can make the corresponding square or rectangle and realize the triangle is Students progress from counting the squares to making a rectangle and recognizing the triangle as to the development of the formula for the area of a triangle.
Background Information Recommended: For a quick overview of the standard(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials.
Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
Figures on the Coordinate Plane Lesson 83 p165-166
Mastering the Common Core ABC
Section 5.6-5.7, review & test p64-71
Teaching the Common Core Math Standards with Hands-On Activities Grades 6-8
Initials p60
Gizmos
None Currently
JBHM
6th GP2-Unit 2 SBIL-6 focus on geometric figures
Glenco
Highly Recommended: The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions.
Tasks that illustrate content standard : 6.G.3
Grade: 6 Unit: 5 Week: 1 Content: Figures on the Coordinate Plane Dates: 3/4/2013-3/8/2013
Theme Essential Question:
How dostudents solve real-world and mathematical problems involving area, surface area, and volume?
Essential Questions:
Standards
Objectives
Reflection and/or Comments from your PCSSD 6th Grade Curriculum Team
Next week is a very big week. It would be adviseable to begin the investigating part of week two during this week. (Lessons 74 and 76 in the On-Core Mathematics book)
Arizona Department of Education:
Draw polygons in the coordiante plane given coordinates for the vertices; use coordiantes to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real world and math problems.
Example:
This standard can be taught in conjunction with 6.G.1 to help students develop the formula for the triangle by using the squares of the coordinate grid. Given a triangle, students can make the corresponding square or rectangle and realize the triangle is Students progress from counting the squares to making a rectangle and recognizing the triangle as to the development of the formula for the area of a triangle.
Background Information
Recommended: For a quick overview of the standard(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials.
Assessment
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Vocabulary
Integer
Graph
Positive Integer
Negative Integer
Coordiante Plane
X-axis
Y-axis
Suggested Activities
On Core Mathematics
- Figures on the Coordinate Plane Lesson 83 p165-166
Mastering the Common Core ABC- Section 5.6-5.7, review & test p64-71
Teaching the Common Core Math Standards with Hands-On Activities Grades 6-8- Initials p60
Gizmos- None Currently
JBHM- 6th GP2-Unit 2 SBIL-6 focus on geometric figures
GlencoHighly Recommended: The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions.
Tasks that illustrate content standard : 6.G.3
- None Currently
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